{"id":"https://openalex.org/W2592863889","doi":"https://doi.org/10.1109/tc.2017.2677913","title":"Mastrovito Form of Non-Recursive Karatsuba Multiplier for All Trinomials","display_name":"Mastrovito Form of Non-Recursive Karatsuba Multiplier for All Trinomials","publication_year":2017,"publication_date":"2017-03-03","ids":{"openalex":"https://openalex.org/W2592863889","doi":"https://doi.org/10.1109/tc.2017.2677913","mag":"2592863889"},"language":"en","primary_location":{"id":"doi:10.1109/tc.2017.2677913","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.2017.2677913","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","1557-9956","2326-3814"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computers","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100451133","display_name":"Yin Li","orcid":"https://orcid.org/0000-0002-9529-8481"},"institutions":[{"id":"https://openalex.org/I130750295","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66","country_code":"CN","type":"education","lineage":["https://openalex.org/I130750295"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yin Li","raw_affiliation_strings":["Department of Computer Science and Technology, Xinyang Normal University, Henan, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Technology, Xinyang Normal University, Henan, P. R. China","institution_ids":["https://openalex.org/I130750295"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020125530","display_name":"Xingpo Ma","orcid":"https://orcid.org/0000-0001-5608-3640"},"institutions":[{"id":"https://openalex.org/I130750295","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66","country_code":"CN","type":"education","lineage":["https://openalex.org/I130750295"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xingpo Ma","raw_affiliation_strings":["Department of Computer Science and Technology, Xinyang Normal University, Henan, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Technology, Xinyang Normal University, Henan, P. R. China","institution_ids":["https://openalex.org/I130750295"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038349704","display_name":"Yu Zhang","orcid":"https://orcid.org/0000-0001-8261-0627"},"institutions":[{"id":"https://openalex.org/I130750295","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66","country_code":"CN","type":"education","lineage":["https://openalex.org/I130750295"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Zhang","raw_affiliation_strings":["Department of Computer Science and Technology, Xinyang Normal University, Henan, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Technology, Xinyang Normal University, Henan, P. R. China","institution_ids":["https://openalex.org/I130750295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110379622","display_name":"Chuanda Qi","orcid":null},"institutions":[{"id":"https://openalex.org/I130750295","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66","country_code":"CN","type":"education","lineage":["https://openalex.org/I130750295"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chuanda Qi","raw_affiliation_strings":["Department of Computer Science and Technology, Xinyang Normal University, Henan, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Technology, Xinyang Normal University, Henan, P. R. China","institution_ids":["https://openalex.org/I130750295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100451133"],"corresponding_institution_ids":["https://openalex.org/I130750295"],"apc_list":null,"apc_paid":null,"fwci":5.3199,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.95863507,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"66","issue":"9","first_page":"1573","last_page":"1584"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/trinomial","display_name":"Trinomial","score":0.9906523823738098},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.777569055557251},{"id":"https://openalex.org/keywords/xor-gate","display_name":"XOR gate","score":0.5946098566055298},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5210106372833252},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.494707316160202},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.433824747800827},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.36449211835861206},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33346104621887207},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3311244249343872},{"id":"https://openalex.org/keywords/logic-gate","display_name":"Logic gate","score":0.193802148103714}],"concepts":[{"id":"https://openalex.org/C6791720","wikidata":"https://www.wikidata.org/wiki/Q1670509","display_name":"Trinomial","level":2,"score":0.9906523823738098},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.777569055557251},{"id":"https://openalex.org/C28495749","wikidata":"https://www.wikidata.org/wiki/Q155516","display_name":"XOR gate","level":3,"score":0.5946098566055298},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5210106372833252},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.494707316160202},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.433824747800827},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.36449211835861206},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33346104621887207},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3311244249343872},{"id":"https://openalex.org/C131017901","wikidata":"https://www.wikidata.org/wiki/Q170451","display_name":"Logic gate","level":2,"score":0.193802148103714},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tc.2017.2677913","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.2017.2677913","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","1557-9956","2326-3814"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2991064361","display_name":null,"funder_award_id":"61402393","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4491460931","display_name":null,"funder_award_id":"61601396","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320327564","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1471103927","https://openalex.org/W1501488688","https://openalex.org/W1566706564","https://openalex.org/W1569612250","https://openalex.org/W1649758727","https://openalex.org/W1773872090","https://openalex.org/W1995503477","https://openalex.org/W1999230567","https://openalex.org/W2001180707","https://openalex.org/W2008030458","https://openalex.org/W2008676925","https://openalex.org/W2038884834","https://openalex.org/W2060368140","https://openalex.org/W2060746229","https://openalex.org/W2078785726","https://openalex.org/W2082081063","https://openalex.org/W2094812471","https://openalex.org/W2111459803","https://openalex.org/W2113672208","https://openalex.org/W2114625600","https://openalex.org/W2122152825","https://openalex.org/W2133814675","https://openalex.org/W2136484227","https://openalex.org/W2138169871","https://openalex.org/W2155780234","https://openalex.org/W2159300175","https://openalex.org/W2282181816","https://openalex.org/W2547545620","https://openalex.org/W6636949950","https://openalex.org/W6638172849","https://openalex.org/W6695721435"],"related_works":["https://openalex.org/W2082262878","https://openalex.org/W2360596780","https://openalex.org/W2395601077","https://openalex.org/W2152379641","https://openalex.org/W2078785726","https://openalex.org/W2062143095","https://openalex.org/W4205233516","https://openalex.org/W2519712445","https://openalex.org/W2138169871","https://openalex.org/W2096013791"],"abstract_inverted_index":{"We":[0,42],"present":[1],"a":[2,99],"new":[3],"type":[4,46],"of":[5,47,67,79,85],"bit-parallel":[6,57],"non-recursive":[7,108],"Karatsuba":[8,35,109],"multiplier":[9,48,58],"over":[10],"GF(2m)":[11],"generated":[12],"by":[13],"an":[14],"arbitrary":[15],"irreducible":[16],"trinomial.":[17],"This":[18,103],"design":[19],"effectively":[20],"exploits":[21],"Mastrovito":[22],"approach":[23],"and":[24,34],"shifted":[25],"polynomial":[26],"basis":[27],"(SPB)":[28],"to":[29,37],"reduce":[30,38],"the":[31,55,65,83,90],"time":[32,92,100],"complexity":[33,75],"algorithm":[36],"its":[39,73],"space":[40,74],"complexity.":[41],"show":[43],"that":[44,93],"this":[45],"is":[49,64,76,89],"only":[50],"one":[51,68],"TX":[52,63],"slower":[53],"than":[54],"fastest":[56],"for":[59],"all":[60],"trinomials,":[61],"where":[62],"delay":[66,101],"2-input":[69],"XOR":[70],"gate.":[71],"Meanwhile,":[72],"roughly":[77],"3/4":[78],"those":[80],"multipliers.":[81,110],"To":[82],"best":[84],"our":[86,94],"knowledge,":[87],"it":[88],"first":[91],"scheme":[95],"has":[96],"reached":[97],"such":[98],"bound.":[102],"result":[104],"outperforms":[105],"previously":[106],"proposed":[107]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
